4216315680 has 120 divisors (see below), whose sum is σ = 14880126492. Its totient is φ = 1124347392.

The previous prime is 4216315627. The next prime is 4216315687. The reversal of 4216315680 is 865136124.

It is a happy number.

4216315680 is a `hidden beast` number, since 421 + 6 + 3 + 156 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4028187024 + 188128656 = 63468^2 + 13716^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4216315687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149707 + ... + 175626.

Almost surely, 2^4216315680 is an apocalyptic number.

4216315680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4216315680 is an abundant number, since it is smaller than the sum of its proper divisors (10663810812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4216315680 is a wasteful number, since it uses less digits than its factorization.

4216315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325360 (or 325343 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4216315680 is about 64933.1631756840. The cubic root of 4216315680 is about 1615.5151675963.

The spelling of 4216315680 in words is "four billion, two hundred sixteen million, three hundred fifteen thousand, six hundred eighty".